2100031240120 has 256 divisors, whose sum is σ = 5243485985280. Its totient is φ = 750639052800.

The previous prime is 2100031240039. The next prime is 2100031240129. The reversal of 2100031240120 is 210421300012.

It is a super-2 number, since 2×2100031240120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100031240094 and 2100031240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100031240129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4740476619 + ... + 4740477061.

It is an arithmetic number, because the mean of its divisors is an integer number (20482367130).

Almost surely, 2^{2100031240120} is an apocalyptic number.

2100031240120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100031240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621742992640).

2100031240120 is an abundant number, since it is smaller than the sum of its proper divisors (3143454745160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100031240120 is a wasteful number, since it uses less digits than its factorization.

2100031240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2100031240120 its reverse (210421300012), we get a palindrome (2310452540132).

The spelling of 2100031240120 in words is "two trillion, one hundred billion, thirty-one million, two hundred forty thousand, one hundred twenty".